Eigendistributions for orthogonal groups and representations of symplectic groups

DOI10.1515/crll.2002.031zbMath0987.43003OpenAlexW2115800709MaRDI QIDQ2782020

Chen-Bo Zhu, Roger E. Howe

Publication date: 11 April 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2002.031

zbMATH Keywords

symplectic grouporthogonal groupsCapelli identitylocal theta correspondencematrix spacemetaplectic covereigendistributiongeneralized Huygens' principle

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Analysis on other specific Lie groups (43A80)

Related Items (5)

The wave equation for Dunkl operators ⋮ Representations with scalar \(K\)-types and applications ⋮ Degenerate principal series and local theta correspondence. III: The case of complex groups ⋮ Theta lifting of unitary lowest weight modules and their associated cycles ⋮ On the quantization of spherical nilpotent orbits

Cites Work

• On the role of the Heisenberg group in harmonic analysis
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